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Finding the Third Proportional to 428,488 and 629,472

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Solution

The third proportional to 428,488 and 629,472 is: 924,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,488 : 629,472 = 629,472 : x
  2. Step 2: Convert to fraction form
    428,488/629,472 = 629,472/x
  3. Step 3: Cross multiply
    428,488x = 629,472 × 629,472
  4. Step 4: Simplify right side
    428,488x = 396,234,998,784
  5. Step 5: Solve for x
    x = 396,234,998,784/428,488
  6. Step 6: Final answer
    x = 924,728.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.